Large-image chiral transition in the Yukawa model Original Research Article

We investigate the finite-temperature behavior of the Yukawa model in which image fermions are coupled with a scalar field ϕ in the limit image. Close to the chiral transition the model shows a crossover between mean-field behavior (observed for image) and Ising behavior (observed for any finite image). We show that this crossover is universal and related to that observed in the weakly-coupled image theory. It corresponds to the renormalization-group flow from the unstable Gaussian fixed point to the stable Ising fixed point. This equivalence allows us to use results obtained in field theory and in medium-range spin models to compute Yukawa correlation functions in the crossover regime.